Solve each inequality. Then graph it on a number line.
The required value of x is . The graph on the number line is,
To graph the endpoint with strict inequality < or >, use the open parenthesis or a hollow circle at that endpoint.
To graph the endpoint with inequality symbol , use the bracket or a solid circle at that endpoint.
Properties of inequality:
In order to solve the inequality:
Add 4 both sides of the inequality, as
Thus, the solution of the given inequality is every number is strictly less than , this can be represented in the interval form, as width="69" style="max-width: none; vertical-align: -4px;" .
Now, in order to sketch the graph of the solution of the inequality, since the interval of solution at left end point is strict, so use a hollow circle at point . And the solution interval at left endpoint , thus every point strictly less than is in the solution interval of given inequality. The graph of the solution of inequality is shown below:
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